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106187106 = 23142312437
BaseRepresentation
bin1100101010001…
…00100101100010
321101210212022210
412111010211202
5204140441411
614311542550
72426401254
oct625044542
9241725283
10106187106
1154a37a43
122b68aa56
1318ccba0c
1410161cd4
1594c7ca6
hex6544962

106187106 has 16 divisors (see below), whose sum is σ = 212540544. Its totient is φ = 35367984.

The previous prime is 106187101. The next prime is 106187111. The reversal of 106187106 is 601781601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106187101) and next prime (106187111).

It is a super-2 number, since 2×1061871062 = 22551402961310472, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106187101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (13283784).

Almost surely, 2106187106 is an apocalyptic number.

106187106 is an abundant number, since it is smaller than the sum of its proper divisors (106353438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106187106 is a wasteful number, since it uses less digits than its factorization.

106187106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 106187106 is about 10304.7128053139. The cubic root of 106187106 is about 473.5406452629.

The spelling of 106187106 in words is "one hundred six million, one hundred eighty-seven thousand, one hundred six".

Divisors: 1 2 3 6 1423 2846 4269 8538 12437 24874 37311 74622 17697851 35395702 53093553 106187106